Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Einige abstrakte Begriffe in der numerischen Mathematik (Anwendungen der Halbordnung).(Some abstract notions in the numerical mathematic. (Applications et semiorder)) - MaRDI portal

Einige abstrakte Begriffe in der numerischen Mathematik (Anwendungen der Halbordnung).(Some abstract notions in the numerical mathematic. (Applications et semiorder))

From MaRDI portal
Publication:2547456

DOI10.1007/BF02234366zbMath0221.65088MaRDI QIDQ2547456

Lothar Collatz

Publication date: 1966

Published in: Computing (Search for Journal in Brave)




Related Items

On stability in the maximum norm of difference scheme for nonlinear parabolic equation with nonlocal condition, A finite volume formulation of compact central schemes on arbitrary structured grids, Enriched collocation finite element method, a model problem, Symmetric spline procedures for boundary value problems with mixed boundary conditions, Freud equations for Legendre polynomials on a circular arc and solution of the Grünbaum-Delsarte-Janssen-Vries problem., An efficient algorithm for the Schrödinger-Poisson eigenvalue problem, Comparison theorems for monotone Newton-Fourier iterations and applications in functional elimination, On inverse-positivity of sub-direct sums of matrices, Inexact Newton methods on a vector supercomputer, Numerical verification of existence and inclusion of solutions for nonlinear operator equations, A Taylor method for stochastic differential equations with time-dependent delay via the polynomial condition, Quasi-interpolants associated with \(H\)-splines on a three-direction mesh, Finite difference methods for certain singular two-point boundary value problems, Three-step alternating iterations for index 1 and non-singular matrices, A note on double weak splittings of type II, Finite difference preconditioning for compact scheme discretizations of the Poisson equation with variable coefficients, A functionally-fitted block hybrid Falkner method for Kepler equations and related problems, Green functions for three-point boundary value problems governed by differential equation systems with applications to Timoshenko beams, Stability of heterogeneous beams with three supports through Green functions, Numerical solution of time dependent nonlinear partial differential equations using a novel block method coupled with compact finite difference schemes, Generalizations of matrix monotonicity and their relationships with certain subclasses of proper splittings, Truly meshless localized type techniques for the steady-state heat conduction problems for isotropic and functionally graded materials, High-order adaptive mesh refinement multigrid Poisson solver in any dimension, A new computational algorithm for the solution of second order initial value problems in ordinary differential equations, Higher order meshless schemes applied to the finite element method in elliptic problems, Selected computational aspects of the meshless finite difference method, Fast and stable schemes for phase fields models, Finite difference methods for the reduced water wave equation, Mauro Picone, Sandro Faedo, and the numerical solution of partial differential equations in Italy (1928--1953), Global-local Petrov-Galerkin formulations in the Meshless Finite Difference Method, The effect of the 2-D Laplacian operator approximation on the performance of finite-difference time-domain schemes for Maxwell's equations, Higher order schemes introduced to the meshless FDM in elliptic problems, Compact finite difference schemes for ocean models. I: Ocean waves, A fourth-order accurate local refinement method for Poisson's equation, On invertibility and positive invertibility of matrices, General explicit difference formulas for numerical differentiation, Variable stepsize implementation of multistep methods for \(y\prime\prime =f(x,y,y^{\prime})\), Scalar correction method for finding least-squares solutions on Hilbert spaces and its applications, Sensitivity analysis scheme of boundary value problem of 2D Poisson equation by using trefftz method, Alternating stationary iterative methods based on double splittings, A’posteriori Error Estimation Based on Higher Order Approximation in the Meshless Finite Difference Method, A trapping principle for discontinuous elliptic systems of mixed monotone type, A Digital Signature Scheme Based on CVP  ∞, Numerical solutions of two-point boundary value problems, How to save a bad element with weak boundary conditions, General convergence theorems for iterative processes and applications to the Weierstrass root-finding method, Numerical simulation of structural dynamics using a high-order compact finite-difference scheme, A radial basis function -- Hermite finite difference approach to tackle cash-or-nothing and asset-or-nothing options, Sixth-order compact finite difference scheme with discrete sine transform for solving Poisson equations with Dirichlet boundary conditions, A matrix analysis approach to discrete comparison principles for nonmonotone PDE, A semilinear boundary value problem with nonincreasing nonlinear terms, On a high-order Gaussian radial basis function generated Hermite finite difference method and its application, Numerical solution of field problems in embounded domains, On minimal H-sets, Experiments with equation solutions by functional analysis algorithms and formula manipulation, A unified approach to the solution of certain classes of nonlinear boundary value problems using monotone iterations, A generalization of irreducible monotonicity, A new patch up technique for elliptic partial differential equation with irregularities, A comparative study of different numerical solution techniques as applied to a nonlinear structural problem, Boundary value problems for higher order integro- differential equations, Tridiagonal Fourth Order Approximations to General Two-Point Nonlinear Boundary Value Problems with Mixed Boundary Conditions, An interval version of Chebyshev's method for nonlinear operator equations, A difference scheme based on non-uniform mesh for singular two-point boundary value problems, Subproper and regular splittings for restricted rectangular linear system, Transient response analysis of systems with different damping models., An extrapolation cascadic multigrid method combined with a fourth-order compact scheme for 3D Poisson equation, Upper and lower solution methods for fully nonlinear boundary value problems, Nonrelativistic numerical MCSCF for atoms, A new collocation formulation for the block Falkner-type methods with trigonometric coefficients for oscillatory second order ordinary differential equations, Explicit iterations with monotonicity for finite element approximations applied to a system of nonlinear elliptic equations, An explicit higher order difference scheme on a compact stencil for elliptic equations on curvilinear geometries, Strong and weak discrete maximum principles for matrices associated with elliptic problems, An additive eigenvalue problem of physics related to linear programming, Method of corrections by higher order differences for Poisson equation with nonlocal boundary conditions, On an effective solution of the Riemann problem for the second-order improperly elliptic equation in the rectangle, A note on the homotopy method for linear algebraic eigenvalue problems, Multigrid methods for combined finite difference and Fourier problems, Isotropic finite volume discretization, Stochastic finite element modelling in linear transient heat transfer, Efficient approximation of implicitly defined functions: general theorems and classical benchmark studies, Numerical solution of Burgers' equations in two space dimensions, Nonnegative Moore--Penrose inverses of Gram operators, Convergence criteria for systems of nonlinear elliptic boundary value partial differential equations, Clouds-in-clouds, clouds-in-cells physics for many-body plasma simulation, Newton's method and its use in optimization, Meshless method of lines for the numerical solution of generalized Kuramoto-Sivashinsky equation, Monotone iterative methods for numerical solutions of nonlinear integro-elliptic boundary problems, Wave propagation in dissipative or dispersive nonlinear media: A numerical approach, Order-convergence and iterative interval methods, Inverse monotonicity of monotone L-operators with applications to quasilinear and free boundary value problems, Analysis and numerical solution of a functional differential equation, An algorithm for the finite difference approximation of derivatives with arbitrary degree and order of accuracy, Spectral analysis of a high-order Hermitian algorithm for structural dynamics, On an iterative improvement of the approximate solution of some ordinary differential equations, New approach for studying nonlocal problems related to differential systems and partial differential equations in generalized fuzzy metric spaces, Replacing a double integral with a single integral, Numerical methods for a singular eigenvalue problem with eigenparameter in the boundary conditions, \(B_D\)-splittings of matrices, Computer aided symbolic solution of multi-point boundary value problems occurring in physics and engineering, Numerical methods for solving differential equations with inadequate data, 3-point Hermite integration of differential equations, Semantics of probabilistic programs, Duality and reciprocity for vector programming, On the numerical integration of the Schrödinger equation in the finite- difference schemes, A new way for constructing high accuracy shock-capturing generalized compact difference schemes., Global attractor of a coupled finite difference reaction diffusion system with delays., Moore-Penrose inverse positivity of interval matrices, An efficient variable step-size rational Falkner-type method for solving the special second-order IVP, A family of improved Falkner-type methods for oscillatory systems, Matrix group monotonicity using a dominance notion, The extension of Picard's successive approximation for constructing two- side bounds for the solutions of differential equations, Boundary approximation methods for potential problems associated with moving boundary problems, Error bounds for the solution of Volterra and delay equations, Meshless finite difference method with higher order approximation -- applications in mechanics, A unified approach for the development of \(k\)-step block Falkner-type methods for solving general second-order initial-value problems in ODEs, A finite difference domain decomposition method using local corrections for the solution of Poisson's equation, A new method for solving eigenvalue problems, Review of explicit Falkner methods and its modifications for solving special second-order I.V.P.S, The embedded finite difference method for the Poisson equation in a domain with an irregular boundary and Dirichlet boundary conditions, Subproper splitting for rectangular matrices, Nine-point difference solutions for Poisson's equation, Fourth order 'Mehrstellen'-Integration for three-dimensional turbulent boundary layers, Eight types of matrix monotonicity, Mesh refinement and local inversion of elliptic partial differential equations, H-sets in linear Approximation, An engineer's guide to soliton phenomena: Application of the finite element method, Solving nonstiff higher order ODEs directly by the direct integration method, Periodic solutions of differential equations and one-parameter family of operators, Characteristics of nonlinear positive functionals and their applications, Multiplicativity and compatibility of generalized matrix norms, Eigenvalues and eigenfunctions of the Hilbert operator, On the a-posteriori error bounds for the solution of ordinary nonlinear differential equations, Evaluation of numerical methods for elliptic partial differential equations, Spurious reflection of elastic waves in nonuniform finite element grids, Fourier spectral embedded boundary solution of the Poisson's and Laplace equations with Dirichlet boundary conditions, A novel finite element method for two-point boundary value problems, A collocation method for systems of nonlinear ordinary differential equations, Methods for solving the matrix equation TB+CT=-A and its generalizations, Generalized inverse-positivity and splittings of M-matrices, A family of high order finite difference schemes with good spectral resolution, Exponentially fitted one-step methods for the numerical solution of the scalar Riccati equation, Finite difference schemes and block Rayleigh quotient iteration for electronic structure calculations on composite grids, Fixed point results for generalized quasicontraction mappings in abstract metric spaces, Minimal H-sets and unicity of best approximations, A combined analytical singularity subtraction method and compact implicit differencing scheme for aerodynamic mixing, On the matrix norm subordinate to the Hölder norm, A fourth order method for y=f(x,y,y'), Unique solutions of systems of second-order nonlinear two-point boundary- value problems, Conditions for the coefficients of Runge-Kutta methods for systems of n- th order differential equations, Iterative methods for a fourth order boundary value problem, Finite difference reaction-diffusion systems with coupled boundary conditions and time delays, On the Newton-Kantorovich method in \(K\)-normed spaces, A simple application of the homotopy method to symmetric eigenvalue problems, Contraction and approximate contraction with an application to multi- point boundary value problems, Regions of absolute stability of explicit Runge-Kutta-Nyström methods for \(y=f(x,y,y')\), Absolute stability of explicit Runge-Kutta-Nyström methods for \(y=f(x,y,y')\), On the determination of boundary collocation points for solving some problems for the Laplace operator, Initial-value methods for discrete boundary value problems, A symbolic Fourier synthesis of a one-point integrated quadrilateral plate element, The perturbation method in problems of the dynamics of inhomogeneous elastic rods, Conservative hybrid compact-WENO schemes for shock-turbulence interaction, Nonlinear Fourier analysis for the infinite-interval Korteweg-de Vries equation. I: An algorithm for the direct scattering transform, Sufficient algebraic conditions for stability of cones of polynomials, A unified derivation of several error bounds for Newton's process, A three-point finite difference method for a class of singular two-point boundary value problems, On mean value solutions for the Helmholtz equation on square grids



Cites Work